A symplectic interpretation of Auslander correspondence

Abstract: Auslander correspondence establishes a bijection between the class of algebras of finite representation type and the class of Auslander algebras, with both families considered up to Morita equivalence. This allows one to study the representation theory of the former via the homological properties of the latter. The aim of this talk is to give a symplectic interpretation to this correspondence when the algebra of finite representation type is the path algebra of the quiver of Dynkin type A_n. This result relies on a realisation of Auslander algebras of type A as Fukaya-Seidel categories of a family of Lefschetz fibrations.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides )

Comments: https://uni-koeln.zoom.us/j/91875528987?pwd=TjNZV1lNdVJNOWUrR2xNalRuQWk3dz09

Meeting ID: 918 7552 8987 Password: LAGOON2022

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Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

Series comments: Description: Research webinar series

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